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Write an expression that is equivalent to 3k18.3k-18. \newline3k18=(k ?)3k-18=\square(k-\ ?)

Full solution

Q. Write an expression that is equivalent to 3k18.3k-18. \newline3k18=(k ?)3k-18=\square(k-\ ?)
  1. Factor Out Common Factor: Factor out the common factor from the expression 3k183k-18. To factor out the common factor, we look for a number that divides both terms in the expression. The number 33 is a common factor of both 3k3k and 18-18. So, we can write 3k183k-18 as 3(k6)3(k-6).
  2. Verify Factored Expression: Verify that the factored expression is equivalent to the original expression.\newlineTo verify, we can distribute the 33 back into the parentheses to see if we get the original expression:\newline3(k6)=3k36=3k183(k-6) = 3\cdot k - 3\cdot 6 = 3k - 18.\newlineSince this is the original expression, our factoring is correct.

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